Dirac Oscillator in Noncommutative Phase Space and (Anti)-Jaynes-Cummings Models

被引：18
|
作者：
Luo, Zhi-Yu [1 ]
Wang, Qing [2 ]
Li, Xiao [1 ]
Jing, Jian [1 ]
机构：
[1] Beijing Univ Chem Technol, Dept Phys & Elect, Sch Sci, Beijing 100029, Peoples R China
[2] Xinjiang Univ, Coll Phys Sci & Technol, Urumqi 830046, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2012年 / 51卷 / 07期
关键词：
Noncommutative phase space; Dirac oscillator; (Anti)-Jaynes-Cummings models; QUANTUM-MECHANICS; AHARONOV-BOHM; D-BRANE; FIELD; QUANTIZATION; SPECTRUM; PLANE; SHIFT;
D O I：
10.1007/s10773-012-1094-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study planar Dirac oscillator in noncommutative phase space. The model is solved exactly. The relation between this model and Jaynes-Cummings (JC) or anti-Jaynes-Cummings (AJC) models is investigated. We find that the behaviors of this model depend qualitatively on the signs of a dimensionless parameter kappa. For a negative kappa, we find that there is a map from this model to a model which contains only AJC terms. However, for a positive kappa, there is a map from this model to a model which contains both AJC and JC terms simultaneously. Our investigation may afford a new way to study the noncommutative Dirac oscillator by means of quantum optics method, and vice verse.
引用
收藏
页码：2143 / 2151
页数：9
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